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Finding the Fourth Proportional to 12,197.84, 16,768.39 and 10,490.09

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Solution

The fourth proportional to 12,197.84, 16,768.39 and 10,490.09 is: 14,420.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.84 : 16,768.39 = 10,490.09 : x
  2. Step 2: Convert to fraction form
    12,197.84/16,768.39 = 10,490.09/x
  3. Step 3: Cross multiply
    12,197.84x = 16,768.39 × 10,490.09
  4. Step 4: Simplify right side
    12,197.84x = 175,901,920.26
  5. Step 5: Solve for x
    x = 175,901,920.26/12,197.84
  6. Step 6: Final answer
    x = 14,420.74

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.